Leighton-Hille-Kneser-type oscillation criteria for Emden-Fowler neutral delay differential equations

Emden-Fowler differential equations have numerous applications in physics and engineering. In this article, we extended the classical Leighton, Hille, and Kneser types oscillation criteria for second-order linear differential equations to the second-order Emden-Fowler neutral delay differential equation$ \left(r(t)\left|z^\prime(t)\right|^{\alpha-1}z^\prime(t)\right)^\prime+q(t)\left|y(\sigma(t))\right|^{\beta}\hbox{sgn} y(\sigma(t)) = 0, \; \; t\geq t_{0}, $where $ z(t) = y(t)+p(t)y(\tau(t)). $ The criteria obtained extended and improved some well-known results reported in the literature. Moreover, several examples are provided to show the significance of the new findings.